2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59346In this paper, we introduce the notion of an Okamoto-Painlevé pair (S, Y) which consists of a compact smooth complex surface S and an effective divisor Y on S satisfying certain conditions. Though spaces of initial values of Painlevé equations introduced by K. Okamoto give examples of Okamoto-Painleve pairs, we find a new example of Okamoto-Painlevé pairs not listed in \cite{Oka}. We will give the complete classification of Okamoto-Painlevé pairs.24 pagesAlgebraic Geometry14D15, 14J26text